Elliptical Tube offers a range of functions and documentation to aid in analyzing and visualizing elliptical tubes. The package supports complex shape simulations and includes supplementary materials to help users navigate its functionality effectively.
The repository is linked to the publications mentioned below.
Article: “The Mean Shape under the Relative Curvature Condition”
Taheri, Mohsen, Stephen M. Pizer, and Jörn Schulz. Journal of Computational and Graphical Statistics.
PhD thesis: “Shape Statistics via Skeletal Structures”
Mohsen Taheri Shalmani, University of Stavanger, Norway.
Cite
@article{taheri2025mean,
title={The Mean Shape under the Relative Curvature Condition},
author={Taheri Shalmani, Mohsen and Pizer, Stephen M and Schulz, J{\"o}rn},
journal={Journal of Computational and Graphical Statistics},
pages={1--21},
year={2025},
publisher={Taylor \& Francis},
url={https://doi.org/10.1080/10618600.2025.2535600}
}ETRep R Package
ETRep R package is designed for the analysis of elliptical tubes, applying the Relative Curvature Condition (RCC) for enhanced shape analysis. This package provides tools for computational and graphical methods relevant to studies involving tubular structures and shape simulation, making it a handy framework for research in fields such as biological shape analysis, robotic arm transformations, and geometry.
Citation
If you use ETRep in your research, please cite it as follows: ## Cite
@Manual{ETRep2024,
title = {R package ETRep: Analysis of Elliptical Tubes Under the Relative Curvature Condition},
author = {Taheri Shalmani, Mohsen and Schulz, J{\"o}rn and Pizer, Stephen M},
year = {2024},
note = {R package},
doi = {10.32614/CRAN.package.ETRep},
url = {https://CRAN.R-project.org/package=ETRep}
}Installation
To install ETRep from CRAN, use:
install.packages("ETRep")CRAN Archive
The previous versions are available at:
Images from the article
Visualization of the surface mesh of two elliptical tubes
A depiction of the simulated ETReps and their mean shape.
